The net profit for the sales of a product is equal to
the total revenue from the sales of that product
minus the total cost for the sales of that product. If a
particular model of calculator sells for €98, and the
cost for making and selling n of these calculators is
€(35n + 120,000), which of the following equations
expresses the net profit in dollars, P, for making and
selling n of these calculators?

For the system of equations below, which of the following statements
is true?
3x + 5 = 2y
\(\frac{x}{3}+\frac{y}{2}=\frac{2}{3}\)

Which could be the slope of a line that contains (1, 1) and passes
between the points (0, 2) and (0, 3)?

If \(\frac{|a+3|}{2}\) =1 and 2|b + 1| = 6, then |a + b| could equal any of the
following EXCEPT

In 2012, a retail chain of fast food restaurants had 68 restaurants in
California and started to expand nationally by adding 9 new restaurants
each year thereafter. At this rate, which of the following functions f
represent the number of restaurants there will be in this retail chain n
years after 2012 assuming none of these restaurants close?

If the function k is defined by k(h) = (h + 1)2, then k(x − 2) =
x²-x

what is the value of
$$\frac{7\div (q)^{2}\times 2}{2p}\times \frac{-p+6q-r}{-q}$$
if p =4, q= 1/2 and r = 2?

The point whose coordinates are (4, −2) lies on a line whose slope is .
Which of the following are the coordinates of another point on this
line?

If the function f is defined by f(x) = 3x + 2, and if f(a) = 17, what is the
value of a?

Which of the following expressions is NOT
equivalent to 3 [6a-3(1 - a) - 5(a + 1)

The graph of a line in the xy-plane has slope and contains the point
(0, 7). The graph of a second line passes through the points (0, 0) and
(–1, 3). If the two lines intersect at the point (r, s), what is the value of
r + s?

Two lines are graphed in the xy-plane. The lines have the same slope and different y-intercepts. How many solution(s) would the equations represented by this pair of lines have?

The line y + 2x = b is perpendicular to a line that passes through the
origin. If the two lines intersect at the point (k + 2, 2k), what is the
value of k?

If |x| ≤ 2 and |y| ≤ 1, then what is the least possible value of x − y?

For what value of k does the system of equations below have no
solution?
4x + 6y = 12
y = 8 − kx

For the inequality below, what is a possible value of x-3?
$$-\frac{5}{3}< \frac{1}{2}-\frac{1}{3}x<\frac{-3}{2}$$

Which of the following equations has a slope perpendicular to the slope of a line with the equation y = ax + b, given that a and b are constants?

If point E(5, h) is on the line that contains A(0, 1) and B(−2, −1), what
is the value of h?

If  \(a=60(99)^{99}+ 30(99)^{99}, b=99^{100},c=90(90)^{99}\)
then which of the following expresses the correct
ordering of a, b, and c

Connor wants to attend the town carnival. The price of admission to the carnival is $4.50, and each ride costs an additional 79 cents. If he can spend at most $16.00 at the carnival, which inequality can be used to solve for r, the number of rides Connor can go on, and what is the maximum number of rides he can go on?

The points A(2, 3) and B(m, 11) are 10 units apart.
Which of the following equations could describe
the line that contains points A and B ?

If 2 times an integer x is increased by 5, the result is always greater than 16 and less than 29. What is the least value of x?

What is the slope of a line with the equation 5x + 4y = 2?

In a certain greenhouse for plants, the Fahrenheit temperature, F, is
controlled so that it does not vary from 79° by more than 7°. Which of
the following best expresses the possible range in Fahrenheit
temperatures of the greenhouse?

(4 − a²) − (2a² − 6)
Which of the following expressions is equivalent to the one
above?

Which of the following expressions is NOT
equivalent to p - 2/3 (2p - 3q) - 1/3 (p + 4q)

Segments AP and BP have the same length. If the coordinates of A and
P are (−1, 0) and (4, 12), respectively, which could be the coordinates
of B?
I. \((\frac{3}{2},6)\)
II (9,24)
III(-8,7)

Which of the following is equivalent to the expression below?
x²− 8x + 5

The annual profit from the sales of an item is equal
to the annual revenue minus the annual cost for
that item. The revenue from that item is equal to
the number of units sold times the price per unit.
If n units of a portable heart monitor were sold in
2012 at a price of €65 each, and the annual cost to
produce n units was €(20,000 + 10n), then which
of the following statements indicates that the total
profit for this heart monitor in 2012 was greater
than €500,000?

Let the function f be defined by f(x) = x²+ 12. If n is a positive number
such that f(3n) = 3f(n), what is the value of n?

In 2014, the United States Postal Service charged €0.48 to mail a first-class letter weighing up to 1 oz. and €0.21 for each additional ounce.
Based on these rates, which function would determine the cost, in
dollars, c(z), of mailing a first-class letter weighing z ounces where z is
an integer greater than 1?

Which of the following represents an equation of the line that is the perpendicular bisector of the segment whose endpoints are (–2, 4) and (8, 4)?

The equation a + b = 15 relates the number of hours, a, Kevin
spends doing homework each week and the number of hours he
spends watching television each week. If Kevin spends a total of
15 hours doing homework and watching television each week,
what does the variable b represent?

A linear equation in the xy-plane intercepts the y-axis at − 3. For every 2 units the y-coordinate of the line increases, the x-coordinate decreases by 7 units. Which of the following is the correct equation for this line?

Roger is having a picnic for 78 guests. He plans to serve each guest at least one hot dog. If each package, p, contains eight hot dogs, which inequality could be used to determine the number of packages of hot dogs Roger must buy?